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首页> 外文期刊>Hadronic Journal >GENO-BRAGG'S LAW 10X10 REPRESENTATION OF SU(3) SYMMETRY FOR QUASICRYSTAL STRUCTURES
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GENO-BRAGG'S LAW 10X10 REPRESENTATION OF SU(3) SYMMETRY FOR QUASICRYSTAL STRUCTURES

机译：拟结构的SU（3）对称性的GENO-BRAGG定律10X10表示

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摘要

The synthesis of quasicrysyals and observation of their unexpected 10-fold symmetric diffraction pattern by D. Shechtman and co-workers 1982-84 provide a natural bridge for bringing solid state (condensed matter) physics within the purview of Santilli's 1967-2006 Lie-admissible generalization of quantum mechanics(QM) under the name "hadronic" mechanics (HM) via our recent non-unitary scattering theory of HM for deep-inelastic e~--p and e~+-e~- scattering processes. This is achieved in this paper by a re-formulation and elaboration of Bragg's law of diffraction for quasicrystals under the title geno-Bragg's law which permits identification of the deformed quasicrystalline state with 10*× 10 representation of SU(3) symmetry. Essentially, because only l-,2-,3-,4- and 6-fold but not 5-fold point symmetry of perfectly periodic crystal lattice are allowed in 3-dimensional (3D) real or reciprocal lattice space, a (non-unitary) deformation of the allowed (cubic) 4-fold and (hexagonal) 6-fold symmetry axes into a common diffraction (square-hexagon) geno-plane having 10-fold point symmetry is achievable as envisaged in HM. As a result, the current icosahedron approximant structure is replaced by cube-hexagon genospace structure that permits determination of atomic distribution in quasicrystals as holographic (periodic) structure. Further elaboration of geno-Bragg's law to high energy (relativistic) deep-inelastic scattering processes described by current-current interaction models of neutron synthesis/decay is applied to the determination of the structure of the neutron and the implications for geno-renormalization of mass and the ratios of the masses of the elementary particles are discussed.
机译：D. Shechtman及其同事1982-84合成准晶体并观察到其出乎意料的10倍对称衍射图，这为在Santilli 1967-2006 Lie允许的范围内将固态（凝聚态）物理学带入了一座自然桥梁。通过我们最近针对深非弹性e〜-p和e〜+ -e〜-散射过程的HM非单位散射理论，将量子力学（QM）推广为“强子”力学（HM）。在本文中，这是通过对标题为geno-Bragg定律的准晶体的布拉格衍射定律进行重新公式化和精心设计而实现的，该定律允许以SU *（3）对称性表示为10 *×10的变形准晶态。从本质上讲，因为在3维（3D）实数或倒数晶格空间中仅允许1、2、3、4和6倍点对称性而不是5倍点对称性完全对称的晶格，如HM所设想的，允许的（立方）4倍和（六边形）6倍对称轴整体变形为具有10倍点对称性的通用衍射（方六边形）基因平面。结果，当前的二十面体近似结构被立方六边形基因空间结构所替代，该结构允许将准晶体中的原子分布确定为全息（周期性）结构。由中子合成/衰变的电流-电流相互作用模型描述的Geno-Bragg定律对高能（相对论）深非弹性散射过程的进一步阐述被用于确定中子的结构及其对质量的Geno重归一化的影响讨论了基本粒子的质量比。

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